%********************?Disclaimer?*****************************************
%?This?program?is?distributed?in?the?hope?that?it?will?be?useful?but
%?WITHOUT?ANY?WARRANTY;?without?even?the?implied?warranty?of
%?MERCHANTABILITY?or?FITNESS?FOR?A?PARTICULAR?PURPOSE.
%
%?The?program?is?free?for?academic?use.?If?you?are?interested?in?using?the
%?software?for?commercial?purposes.??Please?contact?
%???Dr.?Simon?J.?D.?Prince??
%???Email:?s.prince@cs.ucl.ac.uk??
%?
%?Plase?use?the?citation?provided?below?if?it?is?useful?to?your?research:
%
%?S.J.D.?Prince?and?J.H.?Elder?揚robabilistic?linear?discriminant?analysis
%?for?inferences?about?identity??ICCV?2007.?
%
%?P.?Li?and?S.J.D.?Prince?揚robabilistic?Methods?for?Face?Registration?and
%?Recognition??In?Advances?in?Face?Image?Analysis:?Techniques?and
%?Technologies?Y.?Zhang?（eds.）??（in?press）.?
%?
%**************************************************************************
%?function?LogLikelihood?=?PLDA_Identification（ModelDataGalleryDataProbe）
%
%?Face?identification?using?PLDA?based?on?model?comparison
%???Calculate?the?loglikelihoods?of?models?that?DataProbe?match?DataGallery
%???using?learned?PLDA
%
%???Inputs:
%???????Model???????????-?Learned?PLDA?model
%???????DataGallery?????-?Gallery?data:?NFeature?x?nGallery
%???????DataProbe???????-?Probe?data:???NFeature?x?nProbe
%???Outputs:
%???????LogLikelihood???-?nGallery?x?nProbe?matrix?of?loglikelihoods?that
%???????????????????????????assumes?a?probe?image?matches?a?gallery?image
%**************************************************************************
%?Date:?04-03-2010
function?LogLikelihood?=?PLDA_Identification（Model?DataGallery?DataProbe）

%?Get?the?learned?model?parameters
F?=?Model.F;
G?=?Model.G;
Sigma?=?Model.Sigma;
meanVec?=?Model.meanVec;

%?Define?space?for?log?likelihoods
nGallery?=?size（DataGallery?2）;
nProbe?=?size（DataProbe?2）;
LogLikelihood?=?zeros（nGallery?nProbe）;

%?Subtract?mean?from?gallery?and?probe?data
DataGallery?=?DataGallery?-?repmat（meanVec1nGallery）;
DataProbe?=?DataProbe?-?repmat（meanVec1nProbe）;

%?Preprocess?PLDA?model?and?data?to?accelerate?the?computation
HIGHEST_N?=?2;?%?highest?number?of?faces?explained?by?one?variable
factorModel?=?preProcessPLDAModel（F?G?Sigma?HIGHEST_N）;
galleryDataPP?=?preProcessPLDAData（factorModel?DataGallery）;
probeDataPP?=?preProcessPLDAData（factorModel?DataProbe）;

%?Precalculate?single?probability?terms?-?senario?that?each?gallery?image
%?is?from?a?different?identity
logLikeGalleryNoMatch?=?zeros（nGallery?1）;
for?cImage?=?1:nGallery
????logLikeGalleryNoMatch（cImage）?=?getLogLikeMatchPLDA（...
????????factorModel?galleryDataPP（cImage））;
end

%?Loop?over?each?probe
for?cProbe?=?1?:?nProbe
????%?Loop?over?each?gallery
????for?cGallery?=?1?:?nGallery
????????%?Loglikelihood?of?this?model?w.r.t.?the?non-match?terms
????????logLikeModel?=?sum（logLikeGalleryNoMatch（:））...
????????????-?logLikeGalleryNoMatch（cG

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????文件????10537008??2010-01-05?12:04??Data.mat
?????文件????14638107??2010-03-04?15:11??PLDAModel.mat
?????文件????????6762??2010-03-04?14:56??PLDA_Identification.m
?????文件????????2180??2010-03-04?14:55??PLDA_Identification_Demo.m
?????文件????????2764??2010-03-04?14:54??PLDA_Identification_Demo2.m
?????文件????????8946??2010-03-04?15:07??PLDA_Train.m
?????文件????????1815??2010-03-04?15:06??PLDA_Train_Demo.m
?????文件????????5715??2010-03-04?15:14??PLDA_Verification.m
?????文件????????2863??2010-03-04?15:32??PLDA_Verification_Demo.m
?????文件????????4299??2010-03-04?15:35??Rand_Feature_Sampling_Demo.m
?????文件????????3450??2010-03-04?15:41??Readme.txt